Citation
AlSa'di, Kawthar and Nik Long, N. M. A. and Eshkuvatov, Z. K.
(2024)
Theoretical and numerical studies of fractional Volterra-Fredholm integro-differential equations in Banach space.
Malaysian Journal of Mathematical Sciences, 18 (3).
pp. 469-489.
ISSN 1823-8343
Abstract
This paper examines the theoretical, analytical, and approximate solutions of the Caputo fractional Volterra-Fredholm integro-differential equations (FVFIDEs). Utilizing Schaefer’s fixedpoint theorem, the Banach contraction theorem and the Arzelà-Ascoli theorem, we establish some conditions that guarantee the existence and uniqueness of the solution. Furthermore, the stability of the solution is proved using the Hyers-Ulam stability and Gronwall-Bellman’s inequality. Additionally, the Laplace Adomian decomposition method (LADM) is employed to obtain the approximate solutions for both linear and non-linear FVFIDEs. The method’s efficiency is demonstrated through some numerical examples.
Download File
Official URL or Download Paper: https://mjms.upm.edu.my/lihatmakalah.php?kod=2024/...
|
![[img]](http://psasir.upm.edu.my/style/images/fileicons/text.png)
Additional Metadata
| Item Type: | Article |
|---|---|
| Subject: | Mathematics |
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.47836/mjms.18.3.01 |
| Publisher: | Universiti Putra Malaysia |
| Keywords: | Caputo fractional derivative; Hyers-Ulam stability; Laplace Adomian decomposition method |
| Depositing User: | Scopus |
| Date Deposited: | 20 Jan 2025 01:46 |
| Last Modified: | 20 Jan 2025 01:46 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.47836/mjms.18.3.01 |
| URI: | http://psasir.upm.edu.my/id/eprint/114421 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |